Hermite Interpolation Polynomial for Functions of Several Variables

Kashpur, O. F.

doi:10.1007/s10559-022-00472-z

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Cirillo and Hormann1

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2022

2023

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Article2

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Cited by 2 publications

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“…The series can thereafter be calculated as a partial sum plus an approximation based on asymptotic theory for the remaining part. The author also showed that the remaining terms of G(x, y) reveal the nature of the singular behaviour near x = y. Carlitz [75] and Kashpur [76] gave a bilinear generating function for Hermite polynomials in several variables. Glasser and Shawagfeh [77] provided a new integral representation of the Hermite polynomials.…”

Section: Cirillo and Hormannmentioning

confidence: 99%

Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations

Kumari

Kukreja

2023

Mathematics

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With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science. This article aims to provide an overview of the most widely used Hermite interpolating polynomials and their implementation in various algorithms to solve different types of differential equations, which have important applications in different areas of science and engineering. The Hermite interpolating polynomials, their generalization, properties, and applications are provided in this article.

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Section: Cirillo and Hormannmentioning

confidence: 99%